# Program to calculate the value of sin(x) and cos(x) using Expansion

Given a value of angle, you need to calculate Sin and Cos values corresponding to it.

For sin function

Examples:

Input : 90
Output : 1


## C++

 // CPP code for implementing sin function  #include  #include  using namespace std;     // Function for calculating sin value  void cal_sin(float n)  {          float accuracy = 0.0001, denominator, sinx, sinval;             // Converting degrees to radian      n = n * (3.142 / 180.0);          float x1 = n;             // maps the sum along the series      sinx = n;                      // holds the actual value of sin(n)      sinval = sin(n);          int i = 1;      do     {          denominator = 2 * i * (2 * i + 1);          x1 = -x1 * n * n / denominator;          sinx = sinx + x1;          i = i + 1;      } while (accuracy <= fabs(sinval - sinx));      cout << sinx;  }     // Main function  int main()  {      float n = 90;      cal_sin(n);      return 0;  }

## Java

 import static java.lang.Math.sin;     // JAVA code for implementing sin function     class GFG {     // Function for calculating sin value   static void cal_sin(float n)   {           float accuracy = (float) 0.0001, denominator, sinx, sinval;              // Converting degrees to radian       n = n * (float)(3.142 / 180.0);          float x1 = n;              // maps the sum along the series       sinx = n;                      // holds the actual value of sin(n)       sinval = (float)sin(n);           int i = 1;       do     {           denominator = 2 * i * (2 * i + 1);           x1 = -x1 * n * n / denominator;           sinx = sinx + x1;           i = i + 1;       } while (accuracy <= sinval - sinx);          System.out.println(sinx);   }      // Main function             public static void main(String[] args) {          float n = 90;       cal_sin(n);              }  }

## Python3

 # Python3 code for implementing   # sin function  import math;     # Function for calculating sin value  def cal_sin(n):         accuracy = 0.0001;             # Converting degrees to radian      n = n * (3.142 / 180.0);              x1 = n;             # maps the sum along the series      sinx = n;                  # holds the actual value of sin(n)      sinval = math.sin(n);       i = 1;      while(True):                 denominator = 2 * i * (2 * i + 1);          x1 = -x1 * n * n / denominator;          sinx = sinx + x1;          i = i + 1;          if(accuracy <= abs(sinval - sinx)):              break;                 print(round(sinx));     # Driver Code  n = 90;  cal_sin(n);         # This code is contributed by mits

## C#

 // C# code for implementing sin function   using System;     class GFG  {  // Function for calculating sin value   static void cal_sin(float n)   {       float accuracy = (float) 0.0001,                         denominator, sinx, sinval;              // Converting degrees to radian       n = n * (float)(3.142 / 180.0);          float x1 = n;              // maps the sum along the series       sinx = n;                  // holds the actual value of sin(n)       sinval = (float)Math.Sin(n);           int i = 1;       do     {           denominator = 2 * i * (2 * i + 1);           x1 = -x1 * n * n / denominator;           sinx = sinx + x1;           i = i + 1;       } while (accuracy <= sinval - sinx);              Console.WriteLine(sinx);   }      // Driver Code  static public void Main ()  {      float n = 90;       cal_sin(n);   }  }     // This code is contributed by jit_t

## PHP

 

Output:

1


For cos function

Examples:

Input : 30
Output : 0.86602


## C++

 // CPP code for implementing cos function  #include  #include  using namespace std;     // Function for calculation  void cal_cos(float n)  {      float accuracy = 0.0001, x1, denominator, cosx, cosval;             // Converting degrees to radian      n = n * (3.142 / 180.0);             x1 = 1;             // maps the sum along the series      cosx = x1;                      // holds the actual value of sin(n)      cosval = cos(n);      int i = 1;      do     {          denominator = 2 * i * (2 * i - 1);          x1 = -x1 * n * n / denominator;          cosx = cosx + x1;          i = i + 1;      } while (accuracy <= fabs(cosval - cosx));      cout << cosx;  }     // Main function  int main()  {      float n = 30;      cal_cos(n);  }

## Java

 // Java code for implementing cos function     import static java.lang.Math.cos;     class GFG {  // Function for calculation     static void cal_cos(float n) {      float accuracy = (float) 0.0001, x1, denominator, cosx, cosval;      // Converting degrees to radian      n = n * (float) (3.142 / 180.0);      x1 = 1;      // maps the sum along the series      cosx = x1;      // holds the actual value of sin(n)      cosval = (float) cos(n);      int i = 1;      do {          denominator = 2 * i * (2 * i - 1);          x1 = -x1 * n * n / denominator;          cosx = cosx + x1;          i = i + 1;                 }      while (accuracy <= cosval - cosx);      System.out.println(cosx);         }     // Main function  public static void main(String[] args) {      float n = 30;      cal_cos(n);         }  }

## Python3

 # Python 3 code for implementing cos function     from math import fabs, cos     # Function for calculation  def cal_cos(n):      accuracy = 0.0001        # Converting degrees to radian      n = n * (3.142 / 180.0)             x1 = 1            # maps the sum along the series      cosx = x1             # holds the actual value of sin(n)      cosval = cos(n)      i = 1        denominator = 2 * i * (2 * i - 1)      x1 = -x1 * n * n / denominator      cosx = cosx + x1      i = i + 1     while (accuracy <= fabs(cosval - cosx)):          denominator = 2 * i * (2 * i - 1)          x1 = -x1 * n * n / denominator          cosx = cosx + x1          i = i + 1        print('{0:.6}'.format(cosx))     # Driver Code  if __name__ == '__main__':      n = 30     cal_cos(n)     # This code is contributed by  # Sahil_Shelangia

## C#

 // C# code for implementing cos function      using System;  class GFG {   // Function for calculation      static void cal_cos(float n) {       float accuracy = (float) 0.0001, x1, denominator, cosx, cosval;       // Converting degrees to radian       n = n * (float) (3.142 / 180.0);       x1 = 1;       // maps the sum along the series       cosx = x1;       // holds the actual value of sin(n)       cosval = (float) Math.Cos(n);       int i = 1;       do {           denominator = 2 * i * (2 * i - 1);           x1 = -x1 * n * n / denominator;           cosx = cosx + x1;           i = i + 1;                  }       while (accuracy <= cosval - cosx);       Console.WriteLine(cosx);          }      // Main function   static void Main() {       float n = 30;       cal_cos(n);          }   }   // This code is contributed by mits

## PHP

 

Output:

0.86602


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